Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach
The Deng–Fan–Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecula...
Gespeichert in:
| Veröffentlicht in: | Journal of mathematical chemistry 2020-05, Vol.58 (5), p.989-1013 |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1013 |
|---|---|
| container_issue | 5 |
| container_start_page | 989 |
| container_title | Journal of mathematical chemistry |
| container_volume | 58 |
| creator | Edet, C. O. Okorie, U. S. Osobonye, G. Ikot, A. N. Rampho, G. J. Sever, R. |
| description | The Deng–Fan–Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H
2
, CO, ScN and ScF) were obtained using Poisson summation method. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational
n
and rotational
ℓ
are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng–Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods. |
| doi_str_mv | 10.1007/s10910-020-01107-4 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2391394219</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2391394219</sourcerecordid><originalsourceid>FETCH-LOGICAL-c319t-f697e87b27673b2f54f062b3b543fc6ecac3de517e46ff402d15c877e8e0d3b53</originalsourceid><addsrcrecordid>eNp9kL1OwzAUhS0EEqXwAkyRmAPXdhLHIyotIFWCoSwsluNctylNHOxkYOMdeEOeBEOR2Bjuz_Cdc6RDyDmFSwogrgIFSSEFFodSEGl2QCY0FywtSykOyQRYLlMpJD0mJyFsAUCWRTkhz6sN-lbvkt67Hv3QYEicTW6wW3--fyx0F_fcvGg_JL0bsBuayLauxl0yhqZbJ4-uCcF1SRjbVg9N_HQfvbTZnJIjq3cBz37vlDwt5qvZXbp8uL2fXS9Tw6kcUltIgaWomCgEr5jNMwsFq3iVZ9yaAo02vMacCswKazNgNc1NKaIGoY4Un5KLvW-MfR0xDGrrRt_FSMW4pFxmjMpIsT1lvAvBo1W9b1rt3xQF9d2h2neoYofqp0OVRRHfi0KEuzX6P-t_VF9k5ncs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2391394219</pqid></control><display><type>article</type><title>Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach</title><source>SpringerLink Journals - AutoHoldings</source><creator>Edet, C. O. ; Okorie, U. S. ; Osobonye, G. ; Ikot, A. N. ; Rampho, G. J. ; Sever, R.</creator><creatorcontrib>Edet, C. O. ; Okorie, U. S. ; Osobonye, G. ; Ikot, A. N. ; Rampho, G. J. ; Sever, R.</creatorcontrib><description>The Deng–Fan–Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H
2
, CO, ScN and ScF) were obtained using Poisson summation method. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational
n
and rotational
ℓ
are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng–Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods.</description><identifier>ISSN: 0259-9791</identifier><identifier>EISSN: 1572-8897</identifier><identifier>DOI: 10.1007/s10910-020-01107-4</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Atomic interactions ; Chemistry ; Chemistry and Materials Science ; Diatomic molecules ; Eigenvalues ; Energy spectra ; Math. Applications in Chemistry ; Morse potential ; Original Paper ; Physical Chemistry ; Schrodinger equation ; Theoretical and Computational Chemistry ; Thermodynamic properties ; Wave functions</subject><ispartof>Journal of mathematical chemistry, 2020-05, Vol.58 (5), p.989-1013</ispartof><rights>Springer Nature Switzerland AG 2020</rights><rights>Springer Nature Switzerland AG 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-f697e87b27673b2f54f062b3b543fc6ecac3de517e46ff402d15c877e8e0d3b53</citedby><cites>FETCH-LOGICAL-c319t-f697e87b27673b2f54f062b3b543fc6ecac3de517e46ff402d15c877e8e0d3b53</cites><orcidid>0000-0001-7762-731X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10910-020-01107-4$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10910-020-01107-4$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Edet, C. O.</creatorcontrib><creatorcontrib>Okorie, U. S.</creatorcontrib><creatorcontrib>Osobonye, G.</creatorcontrib><creatorcontrib>Ikot, A. N.</creatorcontrib><creatorcontrib>Rampho, G. J.</creatorcontrib><creatorcontrib>Sever, R.</creatorcontrib><title>Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach</title><title>Journal of mathematical chemistry</title><addtitle>J Math Chem</addtitle><description>The Deng–Fan–Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H
2
, CO, ScN and ScF) were obtained using Poisson summation method. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational
n
and rotational
ℓ
are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng–Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods.</description><subject>Atomic interactions</subject><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Diatomic molecules</subject><subject>Eigenvalues</subject><subject>Energy spectra</subject><subject>Math. Applications in Chemistry</subject><subject>Morse potential</subject><subject>Original Paper</subject><subject>Physical Chemistry</subject><subject>Schrodinger equation</subject><subject>Theoretical and Computational Chemistry</subject><subject>Thermodynamic properties</subject><subject>Wave functions</subject><issn>0259-9791</issn><issn>1572-8897</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kL1OwzAUhS0EEqXwAkyRmAPXdhLHIyotIFWCoSwsluNctylNHOxkYOMdeEOeBEOR2Bjuz_Cdc6RDyDmFSwogrgIFSSEFFodSEGl2QCY0FywtSykOyQRYLlMpJD0mJyFsAUCWRTkhz6sN-lbvkt67Hv3QYEicTW6wW3--fyx0F_fcvGg_JL0bsBuayLauxl0yhqZbJ4-uCcF1SRjbVg9N_HQfvbTZnJIjq3cBz37vlDwt5qvZXbp8uL2fXS9Tw6kcUltIgaWomCgEr5jNMwsFq3iVZ9yaAo02vMacCswKazNgNc1NKaIGoY4Un5KLvW-MfR0xDGrrRt_FSMW4pFxmjMpIsT1lvAvBo1W9b1rt3xQF9d2h2neoYofqp0OVRRHfi0KEuzX6P-t_VF9k5ncs</recordid><startdate>20200501</startdate><enddate>20200501</enddate><creator>Edet, C. O.</creator><creator>Okorie, U. S.</creator><creator>Osobonye, G.</creator><creator>Ikot, A. N.</creator><creator>Rampho, G. J.</creator><creator>Sever, R.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-7762-731X</orcidid></search><sort><creationdate>20200501</creationdate><title>Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach</title><author>Edet, C. O. ; Okorie, U. S. ; Osobonye, G. ; Ikot, A. N. ; Rampho, G. J. ; Sever, R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-f697e87b27673b2f54f062b3b543fc6ecac3de517e46ff402d15c877e8e0d3b53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Atomic interactions</topic><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Diatomic molecules</topic><topic>Eigenvalues</topic><topic>Energy spectra</topic><topic>Math. Applications in Chemistry</topic><topic>Morse potential</topic><topic>Original Paper</topic><topic>Physical Chemistry</topic><topic>Schrodinger equation</topic><topic>Theoretical and Computational Chemistry</topic><topic>Thermodynamic properties</topic><topic>Wave functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Edet, C. O.</creatorcontrib><creatorcontrib>Okorie, U. S.</creatorcontrib><creatorcontrib>Osobonye, G.</creatorcontrib><creatorcontrib>Ikot, A. N.</creatorcontrib><creatorcontrib>Rampho, G. J.</creatorcontrib><creatorcontrib>Sever, R.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Edet, C. O.</au><au>Okorie, U. S.</au><au>Osobonye, G.</au><au>Ikot, A. N.</au><au>Rampho, G. J.</au><au>Sever, R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach</atitle><jtitle>Journal of mathematical chemistry</jtitle><stitle>J Math Chem</stitle><date>2020-05-01</date><risdate>2020</risdate><volume>58</volume><issue>5</issue><spage>989</spage><epage>1013</epage><pages>989-1013</pages><issn>0259-9791</issn><eissn>1572-8897</eissn><abstract>The Deng–Fan–Eckart potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schrödinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules (H
2
, CO, ScN and ScF) were obtained using Poisson summation method. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational
n
and rotational
ℓ
are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng–Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s10910-020-01107-4</doi><tpages>25</tpages><orcidid>https://orcid.org/0000-0001-7762-731X</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0259-9791 |
| ispartof | Journal of mathematical chemistry, 2020-05, Vol.58 (5), p.989-1013 |
| issn | 0259-9791 1572-8897 |
| language | eng |
| recordid | cdi_proquest_journals_2391394219 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Atomic interactions Chemistry Chemistry and Materials Science Diatomic molecules Eigenvalues Energy spectra Math. Applications in Chemistry Morse potential Original Paper Physical Chemistry Schrodinger equation Theoretical and Computational Chemistry Thermodynamic properties Wave functions |
| title | Thermal properties of Deng–Fan–Eckart potential model using Poisson summation approach |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T02%3A43%3A55IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Thermal%20properties%20of%20Deng%E2%80%93Fan%E2%80%93Eckart%20potential%20model%20using%20Poisson%20summation%20approach&rft.jtitle=Journal%20of%20mathematical%20chemistry&rft.au=Edet,%20C.%20O.&rft.date=2020-05-01&rft.volume=58&rft.issue=5&rft.spage=989&rft.epage=1013&rft.pages=989-1013&rft.issn=0259-9791&rft.eissn=1572-8897&rft_id=info:doi/10.1007/s10910-020-01107-4&rft_dat=%3Cproquest_cross%3E2391394219%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2391394219&rft_id=info:pmid/&rfr_iscdi=true |